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Finding the Fourth Proportional to 70,493.49, 97,282.35 and 38,664

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Solution

The fourth proportional to 70,493.49, 97,282.35 and 38,664 is: 53,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,493.49 : 97,282.35 = 38,664 : x
  2. Step 2: Convert to fraction form
    70,493.49/97,282.35 = 38,664/x
  3. Step 3: Cross multiply
    70,493.49x = 97,282.35 × 38,664
  4. Step 4: Simplify right side
    70,493.49x = 3,761,324,780.40
  5. Step 5: Solve for x
    x = 3,761,324,780.40/70,493.49
  6. Step 6: Final answer
    x = 53,357.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.